What is the slope-intercept form of the line passing through # (0, 6) # and # (3, -2) #?

Answer 1

#y=-8/3+6#

Using the slope formula: #(y2 - y1)/(x2 - x1)# You should choose the first coordinate point to be #(x1, y1)# and the other to be #(x2, y2)# So #(-2 - 6)/(3 - 0)# will give you the slope #m# Now you need to put the slope and one of the given points into slope-intercept form. if #m=-8/3# you can solve for #b# in #y=mx+b# Inserting the point #(0, 6)# we get #6=-8/3(0)+b# So, #b=6# You can check this using the other point and plug in #b#. #-2=-8/3(3)+6?# Yes, because this equation is true, #b=6# must be the correct y-intercept. Therefore, our equation is #y=-8/3+6#
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Answer 2

The slope-intercept form of a line is given by the equation (y = mx + b), where (m) is the slope of the line and (b) is the y-intercept.

To find the slope, use the formula (m = \frac{y2 - y1}{x2 - x1}) with the points ((0, 6)) and ((3, -2)):

(m = \frac{-2 - 6}{3 - 0})
(m = \frac{-8}{3})

Now, substitute the slope (m) and one of the points ((0, 6)) into the slope-intercept form equation to find (b):

(6 = \frac{-8}{3} \times 0 + b)
(b = 6)

Therefore, the equation of the line in slope-intercept form is (y = -\frac{8}{3}x + 6).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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